Нерівність Єнсена (Ukrainian Wikipedia)

Analysis of information sources in references of the Wikipedia article "Нерівність Єнсена" in Ukrainian language version.

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Gao, Xiang; Sitharam, Meera; Roitberg, Adrian (2019). Bounds on the Jensen Gap, and Implications for Mean-Concentrated Distributions (PDF). The Australian Journal of Mathematical Analysis and Applications. 16 (2). arXiv:1712.05267.

Gao, Xiang; Sitharam, Meera; Roitberg, Adrian (2019). Bounds on the Jensen Gap, and Implications for Mean-Concentrated Distributions (PDF). The Australian Journal of Mathematical Analysis and Applications. 16 (2). arXiv:1712.05267.
Liao, J.; Berg, A (2018). Sharpening Jensen's Inequality. American Statistician. arXiv:1707.08644. doi:10.1080/00031305.2017.1419145.

Jensen, J. L. W. V. (1906). Sur les fonctions convexes et les inegalites entre les valeurs moyennes. Acta Mathematica. 30 (1): 175—193. doi:10.1007/BF02418571.
Attention: In this generality additional assumptions on the convex function and/ or the topological vector space are needed, see Example (1.3) on p. 53 in Perlman, Michael D. (1974). Jensen's Inequality for a Convex Vector-Valued Function on an Infinite-Dimensional Space. Journal of Multivariate Analysis. 4 (1): 52—65. doi:10.1016/0047-259X(74)90005-0.
Liao, J.; Berg, A (2018). Sharpening Jensen's Inequality. American Statistician. arXiv:1707.08644. doi:10.1080/00031305.2017.1419145.

p. 25 of Rick Durrett (2019). Probability: Theory and Examples (вид. 5th). Cambridge University Press. ISBN 978-1108473682.
p. 29 of Rick Durrett (2019). Probability: Theory and Examples (вид. 5th). Cambridge University Press. ISBN 978-1108473682.

Bradley, CJ (2006). Introduction to Inequalities. Leeds, United Kingdom: United Kingdom Mathematics Trust. с. 97. ISBN 978-1-906001-11-7. Архів оригіналу за 2 червня 2021. Процитовано 31 травня 2021.

Bradley, CJ (2006). Introduction to Inequalities. Leeds, United Kingdom: United Kingdom Mathematics Trust. с. 97. ISBN 978-1-906001-11-7. Архів оригіналу за 2 червня 2021. Процитовано 31 травня 2021.